Stretched exponential function: Difference between revisions

Revision as of 14:36, 8 December 2021

Revision as of 17:13, 20 December 2021

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| pages = 569–582

| year = 1993

| title = Stretched exponential decay at intermediate times in the one-dimentionaldimensional Ising model at low temperatures

|doi = 10.1016/0378-4371(93)90015-V| bibcode = 1993PhyA..197..569B

}}</ref> it can be shown that the asymptotic decay is a stretched exponential, but the prefactor is usually an unrelated power.

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== History and further applications ==

As said in the introduction, the stretched exponential was introduced by the [[Germans|German]] [[physics|physicist]] [[Rudolf Kohlrausch]] in 1854 to describe the discharge of a capacitor ([[Leyden jar]]) that used glass as dielectric medium. The next documented usage is by [[Friedrich Kohlrausch (physicist)|Friedrich Kohlrausch]], son of Rudolf, to describe torsional relaxation. [[A. Werner]] used it in 1907 to describe complex luminescence decays; [[Theodor Förster]] in 1949 as the fluorescence decay law of electronic energy donors.

Outside condensed matter physics, the stretched exponential has been used to describe the removal rates of small, stray bodies in the solar system,<ref>{{cite journal